Suppose that the lifetime of a computer model is an aleator variable with an exponential distribution whose mean is 18 months
a) If the cost of assembly of each computer is 1260 USD and sold at 1850 USD, determine the expected utility for each computer knowing that the distributor changes to a new one if it lasts less than 12 months
b) A company acquires 8 such computers, what is the probability that at least 1 lasts at least 12 months?

Suppose that the lifetime of a computer model is an aleator variable with an exponential distribution whose mean is 18 m...
The lifetime of a cellphone is normally distributed with a mean of 18 months and a standard deviation of 2.8 months. What is the probability a cell phone lasts less than 10.88 months?
1. Suppose that the longevity of a light bulb is exponential with a mean lifetime of eight years. Find the probability that a light bulb lasts between 6 and 8 years. a. 0.875 b. 0.125 c. 0.896 d. 0.104 2. At a 911 call center, calls come in at an average rate of one call every two minutes. Assume that the time that elapses from one call to the next has the exponential distribution. Find the probability after a call is...
A light bulb (the lifetime is assumed to follow an exponential distribution) has a mean life of 400 hours. What is the probability of the bulb lasting 1) less than 300 hours; 2) more than 500 hours; 3) between 200 and 500 hours?
5. Suppose that the time (in hours) that Isabel spends on an untimed final exam exponential distribution with mean 1.25 hours, and the time that Javier spends follows an exponential distribution with mean 1.75 hours. Assume independent of each other. (a) Determine the probability that Isabel finishes in less than 1 hour ollows an on the same exam that their times are (b) Determine the probability that Javier finishes in less than 1 hour.
5. Suppose that the time (in...
Assume that you work at Apple and have determined based on previous sales data that the Mac computers last a mean of 10 years and approximately follow an exponential distribution. Each computer costs the company $200 dollars to manufacture. If you are tasked with determining how much a 4-year full replacement warranty on a broken computer should cost customers, what is the lowest price the company should offer for that replacement warranty to have an expected return of $0? If...
14. The monthly demand for the latest computer at Newland Computers follows a normal distribution with a mean of 350 and standard deviation of 75. Newland purchases these computers for $1,200 and sells them for $2,300. It costs the com pany $100 to place an order and $12 for every computer held in inventory at the end of each month. Currently, the company places an order for 1,000 computers whenever the inventory at the end of a month falls below...
Attempts: Keep the Highest: 75 6. The exponential distribution An economist studied a large data set of Mexican consumer prices covering episodes of both high and low inflation. One of the goods in the study was toothpaste. When the inflation rate was low, an average of 1.9 changes in the price of toothpaste occurred each year. When the inflation rate was high, the price of toothpaste changed more frequently-an average of 8.4 times each year. (Source: E. Etienne Gagnon, Price...
1. The mean lifetime of laptop computers produced by one company is 4.6 years with a standard deviation of 1.1 years. Consider random samples of 55 laptop computers repeatedly taken for 2 weeks. What is the standard deviation of the sampling distribution of the sample means? (If rounding is needed, round to four decimal places). 2 . Suppose that for 18-to-25-year-old men, the mean number of football games watched each football season is 19.0 games with a standard deviation of...
Suppose the yearly rainfall totals for a some city follow a normal distribution, with mean of 18 inches and standard deviation of 6 inches. For a randomly selected year, what is the probability, P, that total rainfall will be in each of the following intervals? (Round all answers to four decimal places.) (a) Less than 12 inches.P = ?(b) Greater than 27 inches.P = ?(c) Between 12 and 24 inches.P = ?(d) Greater than 35 inches.P = ?
Complete parts (a) through (d) for the sampling distribution of the sample mean shown in the accompanying graph. Click the icon to view the graph. (a) What is the value of us? The value of his (b) What is the value of 0;? The value of oz is (c) If the sample size is n=16, what is likely true about the shape of the population? OA. The shape of the population is approximately normal. B. The shape of the population...